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QUESTION IMAGE

solve the inequality and graph the solution. d + 5 < -3 plot the endpoi…

Question

solve the inequality and graph the solution.
d + 5 < -3
plot the endpoints. select an endpoint to change it from closed to open. select the middle of the segment, ray, or line to delete it.

Explanation:

Step1: Isolate the variable d

Subtract 5 from both sides of the inequality $d + 5 < - 3$.
$d+5 - 5< - 3-5$

Step2: Simplify the right - hand side

$d<-8$

Answer:

The solution of the inequality is $d < - 8$. On the number - line, we plot an open circle at $-8$ (because the inequality is strict, $d$ cannot equal $-8$) and draw a ray to the left of $-8$.